Homework assignment III
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: September 21 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect
ME 320 Fall 2016
Homework #2 (Due Monday, September 12, 2014) (Revised 9/9/2016)
1. For a brick in the shape of a finite cylinder with a triangular cross section (as is used at the junction of
two orthogonal walls), with vertices at (0, 0, 0) m, (0, 0, 0.
ME 320 Fall 2014
Homework #11 Solutions
1. a) The maximum temperature on the line y = 0 , z = 0 will occur at a point x > 0 , because
heat is generated by light absorption at the surface, and this heat gets to the midplane only
by conduction, which takes
ME 320 Fall 2014
Homework #4 (Due Wednesday, September 28, 2016)
1. A rectangular fin with thickness 0.5 mm, height 2 cm (normal to the base) is attached to a 60 C base.
The fin has a constant conductivity of 400 W/(m K), the convective heat transfer coef
ME 320 Fall 2016
Homework #3 (Due Wednesday, September 21, 2016) (Revised September 18, 2016)
1. One wall of a device consists of a 5 mm thick slab of invar (k = 12 W/(m K), a Ni-Fe alloy
whose thermal expansion coefficient from 0 C to 230 C is lower than
ME 320 Fall 2014
Homework #8 Solutions
1. Let the 80 C side be at x = 0, and the side in contact with the water be at x = L = 2 cm.
d 2TCu
a) 0 =
TCu ( x) =
kCu
a + bx
dx 2
but the B.C. at x = 0 requires that
80 C = TCu (0) = a + b 0 a = 80 C TCu ( x) =
MechSE, University of Illinois
S. Sinha
ME 320 Midterm II Examination, Fall 2008, 11/10/08
Time: 10:00 am to 10:50 am
Open book and notes, scientific calculator allowed, 35 points total, 5 points extra credit
Pl
ME 320: Fall 2013 Midterm 2 Examination
Department of Mechanical Science & Engineering
University of Illinois at Urbana-Champaign
Time: 7:00 pm 8:50 pm
Date: November 6, 2013
Maximum Points: 80
Instructions
ME 320 Fall 2016
Homework #1 (due September 2, 2016) (Revised 8/29/2016)
1. In the desert, a 20-ounce container of Gatorade is initially at 115F. It is put into a cooler
containing a very large amount of ice at 0C. The cooler is closed and maintained with
ME 320 Fall 2014
Homework #9 Solutions
T
2T
1. a) For the PDE =
c
k 2 + S , we substitute using the given transformation, to get
t
x
2
( A + BL)
( A + BL)
BL
BL 2
2 SL
c
=
k
+
S
c
=
k
+
S
=
+
( L2 c k )
( L ) 2
L2 c k
L2 2
2 Bk
For the initial
Homework assignment IV
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: September 28 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect
Homework assignment V
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: October 12, 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect th
Homework assignment VI
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: October 19, 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect t
Homework assignment VII
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: October 26, 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect
Homework assignment VIII
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: November 02, 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affec
Homework assignment IX
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: November 16, 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect
Homework assignment XI
ME 320: Heat Transfer (Fall 2012, K. Nawaz)
Due date: December 03, 2012
Instructions: Follow the standard format for solutions stating all necessary assumptions.
Neatness, clarity and professionalism of the presentation will affect
ME 320 Fall 2014
Homework #10 Solutions
1. Here, we assume that u = 0 , and follow the consequences. The equation for conservation of
mass is satisfied identically. The three components of momentum conservation reduce to
p
0=
(1a)
x
p
(1b)
0=
y
p
o [1
ME 320 Fall 2014
Homework #7 Solutions
1. a) The appropriate parameter is a dimensionless Biot number, defined by Bi = hLchar kCu , where
Lchar is a characteristic length for the body. For a sphere of radius R, we can choose
Lchar =
A=
(4 R 3 3) (4 R 2 )
ME 320: Heat Transfer Laboratory
Temperature Measurement Investigation
I. Objective
The objectives of this experiment are to become familiar with general temperature measurement instrumentation used
in the laboratory, and to conduct various measurements w